Physics
Scientific paper
May 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006gregr..38..773r&link_type=abstract
General Relativity and Gravitation, Volume 38, Issue 5, pp.773-783
Physics
1
Differential Operators, C-G Coefficients, Gravito-Electric And Gravito-Magnetic Fields, Wave Equation, Gravitoelectromagnetism
Scientific paper
The quantum theory of angular momentum affords a treatment of tensors and vectors in a spherical basis. By using this theory we define the tensor differential operators: divergence, curl and gradient which act on a tensor of any rank, in terms of C-G coefficients. With these definitions we obtain a matrix representation and useful properties for those operators. An interesting application of this formalism is to find the wave equation of a tensor of any rank in a linear theory. This provides a new common way to look at the wave equations associated with both Maxwell's equations and the Maxwell-like equations for the linearized Weyl curvature tensor in gravitoelectromagnetism describing gravitational radiation on a Minkowski spacetime background.
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